A Geometric Interpretation of Fading in Wireless Networks: Theory and Applications

TL;DR

This paper introduces a unified geometric framework for modeling fading in wireless networks with random node distributions, enhancing understanding of connectivity and broadcasting by integrating fading into the point process model.

Contribution

It develops a novel approach that incorporates fading into the point process framework, providing new insights into network connectivity and broadcasting.

Findings

Fading can be integrated into the point process model for wireless networks.

The framework improves analysis of network connectivity.

Applications to broadcasting demonstrate practical relevance.

Abstract

In wireless networks with random node distribution, the underlying point process model and the channel fading process are usually considered separately. A unified framework is introduced that permits the geometric characterization of fading by incorporating the fading process into the point process model. Concretely, assuming nodes are distributed in a stationary Poisson point process in $\R^d$, the properties of the point processes that describe the path loss with fading are analyzed. The main applications are connectivity and broadcasting.